title: Self-trapped leaky waves in lattices: discrete and Bragg soleakons.
abstract: We propose lattice soleakons: self-trapped waves that self-consistently populate slowly-attenuating leaky modes of their self-induced defects in periodic potentials. Two types, discrete and Bragg, lattice soleakons are predicted. Discrete soleakons that are supported by combination of self-focusing and self-defocusing nonlinearities propagate robustly for long propagation distances. They eventually abruptly disintegrate because they emit power to infinity at an increasing pace. In contrast, Bragg soleakons self-trap by only self-focusing nonlinearity. Also, they do not disintegrate because they emit power at a decreasing rate.
authors.forename: Maxim
authors.initials: M
authors.lastname: Kozlov
authors.forename: Ofer
authors.initials: O
authors.lastname: Kfir
authors.forename: Oren
authors.initials: O
authors.lastname: Cohen